Borichev, Alexander A.Hartmann, AndreasKellay, KarimMassaneda Clares, Francesc Xavier2023-01-242023-01-242017-01-020001-8708https://hdl.handle.net/2445/192550We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity. This answers partially a question posed by Brekke and Seip.34 p.application/pdfengcc-by-nc-nd (c) Elsevier B.V., 2017https://creativecommons.org/licenses/by-nc-nd/4.0/Funcions de variables complexesProblemes de moments (Matemàtica)Interpolació (Matemàtica)Espais de HilbertOperadors linealsFunctions of complex variablesMoment problems (Mathematics)InterpolationHilbert spaceLinear operatorsinfo:eu-repo/semantics/article6648892023-01-24info:eu-repo/semantics/openAccess